Question

Which of the equations below could be the equation of this parabola?5Vertex(0,0)10A. x = 2y2B. y= 2x2C. y = -2x2O D. x = -2y2

Answer 1

Given:

Vertex = (0,0)

General vertex from of equation is:

$y=a(x-h)^2+k$$\text{vertex = (h,k)}$

So:

h = 0

k = 0

then equation is:

$\begin{gathered} y=a(x-h)^2+k \\ h=0;k=0 \\ y=a(x-0)^2+0 \\ y=ax^2 \end{gathered}$

Here value of "a" is negative because the graph is move downward . and all option give mode value is 2 then the equation of functuion:

$y=-2x^2$